GATE XE format:nat PYQs & Answers — Page 29

Questions 281–290 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 29 of 67

The stepped rod of length 2 m, shown in the figure, is fixed at both ends (A and C). The area of cross-section of portion AB is 200 mm

and that of portion BC is 100 mm

. Force

is applied at section B such that the section is displaced by 0.1 mm in the direction of the force. Young’s modulus of the rod is 200 GPa. The applied force

in N is

Diagram for Engineering Sciences question 85

______ (round off to the nearest integer)

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A cantilever beam has a span of 1 m and carries a uniformly distributed load of

N/m over a portion as shown. A force

N acts at a distance

from the fixed end. The distance

is such that the bending moment at the fixed end is zero. The beam has a rectangular cross-section of depth 20 mm and width 24 mm. For this loading, the magnitude of the maximum bending stress in the beam in MPa is

Diagram for Engineering Sciences question 86

______________ (round off to the nearest integer)

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The figure shows two identical mass-less beams AB and CD, each clamped at one of their ends. The left end of beam CD rests on the right end of beam AB such that the ends of the beams are just in contact. The beams are unstressed before the application of load. Assume no friction at the contact. Now, if a uniformly distributed load of 800 N/m is applied on beam CD, the bending moment at the end B of beam AB in N.m is __________ (rounded off to the nearest integer)

Diagram for Engineering Sciences question 87

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A 1.2 m

rigid vessel contains 8 kg of saturated liquid-vapor mixture at 150 kPa. The specific enthalpy of this mixture is ______ kJ/kg (round off to 2 decimal places).

At 150 kPa:

/kg,

kJ/kg,

kJ/kg

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Air in a closed system undergoes a thermodynamic process from an initial temperature of 300 K to the final temperature of 400 K. The specific heat of air at constant volume,

varies linearly with the temperature,

(in K) as

Change in the specific internal energy of the air in the system is ______ kJ/kg (round off to 2 decimal places).

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A vertical cylinder-piston device contains a fixed mass of gas in equilibrium. The cross-sectional area of the piston is 0.05 m

. For 150 kPa pressure of the gas in the cylinder, the mass of the piston is ______ kg (round off to 2 decimal places).

Assume that the atmospheric pressure is 100 kPa and the acceleration due to gravity is 9.81 m/s

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A steam power plant operates on Rankine cycle. At certain operating condition of the plant, there is a reduction of 20% net work output (kJ/kg) as compared to 100% capacity. This reduction will cause the specific steam consumption (kg/kJ) to increase by ______ % (in integer).

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A Carnot heat pump extracts heat from the environment at 250 K, and supplies 6 kW of heat to a room which is maintained at a constant temperature

. The heat pump requires a power input of 1 kW for its operation. Then, the temperature of the room

is ______ K (round off to nearest integer).

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An insulated rigid tank of volume 10 m³ contains air initially at 1 MPa and 600 K. A valve connected to the tank is opened, and air is allowed to escape until the temperature inside the tank drops to 400 K. The temperature of the discharged air can be approximated as the average of the initial and final temperatures of the air in the tank. Neglect kinetic and potential energies of the discharged air. Assume that air behaves as an ideal gas with constant specific heat so that internal energy

and enthalpy

. Then, the final pressure of the air in the tank is ______ MPa (round off to 2 decimal places).

Assume

kJ/(kg K),

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Steam enters a steam turbine at 5 MPa and 600 °C and exits as saturated vapor at 50 kPa. Under steady state condition, the turbine loses heat to the surroundings at the rate of 50 kJ per kilogram of steam flow through the turbine. The ambient temperature is 300 K, and the heat transfer to the surroundings takes place at the outer surface of the turbine at a temperature of 450 K. The irreversibility per unit mass of steam flowing through the turbine is ______ kJ/kg (round off to 2 decimal places).

Neglect the change in kinetic and potential energies of the steam, and use the following property values:

Superheated steam at 5 MPa, 600 °C

m³/kg,

kJ/kg,

kJ/(kg K)

Saturated vapour at 50 kPa

m³/kg,

kJ/kg,

kJ/(kg K)

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GATE XE format:nat PYQs

Question 85

Question 86

Question 87

Question 92

Question 93

Question 94

Question 95

Question 96

Question 103

Question 104